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DTSTART:19810329T020000
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DTSTART:19961027T030000
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UID:news1619@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20240328T104000
DTSTART;TZID=Europe/Zurich:20240410T141500
SUMMARY:Seminar Analysis and Mathematical Physics: Roman Shvydkoy (Universi
 ty of Illinois at Chicago)
DESCRIPTION:The classical Kolmogorov-41 theory of turbulence is based on a 
 set of  pivotal assumptions on scaling and energy dissipation for solutio
 ns satisfying incompressible fluid models. In the early 80's experimental 
 evidence emerged that pointed to departure from the K41 predictions\, whic
 h was attributed to the phenomenon of statistical intermittency.  In this
  talk we give an overview of the classical results in the subject\, relati
 onship of intermittency to the problem of global well-posedness of the 3D 
 Navier-Stokes system\, and discuss a new approach developed jointly with A
 . Cheskidov on how to measure and study intermittency from a rigorous pers
 pective.  At the center of our discussion will be a new interpretation of
  an intermittent signal described by volumetric properties of the filter
 ed field.  It provides\, in particular\, a systematic approach to the Fr
 isch-Parisi multifractal formalism\, and recasts intermittency from the po
 int of view of information theory. 
X-ALT-DESC:<p>The classical Kolmogorov-41 theory of turbulence is based on 
 a set of&nbsp\; pivotal assumptions on scaling and energy dissipation for 
 solutions satisfying incompressible fluid models. In the early 80's experi
 mental evidence emerged that pointed to departure from the K41 predictions
 \, which was attributed to the phenomenon of statistical intermittency.&nb
 sp\; In this talk we give an overview of the classical results in the subj
 ect\, relationship of intermittency to the problem of global well-posednes
 s of the 3D Navier-Stokes system\, and discuss a new approach developed jo
 intly with A. Cheskidov on how to measure and study intermittency from a r
 igorous perspective.&nbsp\; At the center of our discussion will be a new 
 interpretation of an intermittent signal&nbsp\;described&nbsp\;by volumetr
 ic properties of the filtered&nbsp\;field.&nbsp\; It provides\, in particu
 lar\, a systematic approach to the Frisch-Parisi multifractal formalism\, 
 and recasts intermittency from the point of view of information theory.&nb
 sp\;</p>
DTEND;TZID=Europe/Zurich:20240410T160000
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